What is the 2596th prime number?
The 2596th prime number is 23291. The next prime is 23293 (a gap of 2) and the one before is 23279.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2596th one is 23291.
- 2
23291 is prime because no prime up to ā23291 ā 152.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2596th prime is close to 2596 Ć ln(2596) ā 20409, and here it is 23291.
- 4
23291 is a twin prime: 23291 and 23293 are both prime.
Primes around the 2596th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2593 | 23251 | 24 |
| 2594 | 23269 | 18 |
| 2595 | 23279 | 10 |
| 2596 | 23291 | 12 |
| 2597 | 23293 | 2 |
| 2598 | 23297 | 4 |
| 2599 | 23311 | 14 |
Questions
What is the 2596th prime number?
23291.
Which prime number is 23291?
23291 is the 2596th prime number.
What is the sum of the first 2596 primes?
28,401,423.